Islamic Azad University, Rasht BranchIranian Journal of Optimization2588-57232008-542707220151201Supplier selection among alternative scenarios by Data envelopment analysis815821ENMohsenVaez-GhasemiDepartment of Mathematics, Islamic Azad University, Rasht Branchmohsen.vaez@iaurasht.ac.irA considerable problem in competitive trade world is choosing the best supply chain. As a result in much more serious circumstances of competitions looking for the best supplier for manufacturing, for preparing raw material, is very significant. Meantime suppliers have different scenarios to be fulfilled, such as changing selection variables like lead-time, transportation cost and transportation path. In this paper a mathematical model using Data Envelopment Analysis (DEA) technique and binary algorithm for selecting suppliers with different scenarios is used which can evaluate suppliers with variable preferences and replacement for other suppliers.<br />A considerable problem in competitive trade world is choosing the best supply chain. As a result in much more serious circumstances of competitions looking for the best supplier for manufacturing, for preparing raw material, is very significant. Meantime suppliers have different scenarios to be fulfilled, such as changing selection variables like lead-time, transportation cost and transportation path. In this paper a mathematical model using Data Envelopment Analysis (DEA) technique and binary algorithm for selecting suppliers with different scenarios is used which can evaluate suppliers with variable preferences and replacement for other suppliers.Supply Chain Management,Data envelopment analysis,Mixed integer programming,Binary Variableshttp://ijo.iaurasht.ac.ir/article_523397.htmlhttp://ijo.iaurasht.ac.ir/article_523397_c0a462c308b137e727fa52576323558f.pdfIslamic Azad University, Rasht BranchIranian Journal of Optimization2588-57232008-542707220151201A numerical approach for optimal control model of the convex semi-infinite programming823829ENHamidRouhparvarDepartment of Mathematics, Saveh Branch, Islamic Azad University, Saveh, Iran.rouhparvar59@gmail.comIn this paper, convex semi-infinite programming is converted to an optimal control model of neural <br />networks and the optimal control model is solved by iterative dynamic programming method. In final, numerical examples are provided for illustration of the purposed method.Optimal control,Iterative dynamic programming,Neural networks,Convex semi-infinite programminghttp://ijo.iaurasht.ac.ir/article_519141.htmlhttp://ijo.iaurasht.ac.ir/article_519141_4f0562b3637b4466757d2112b1645445.pdfIslamic Azad University, Rasht BranchIranian Journal of Optimization2588-57232008-542707220151201Alternative ranking method in Dynamic Data Envelopment Analysis (DDEA)839848ENMahnazMaghbouliIslamic Azad university-East Azerbaijan Branchmmaghbouli@gmail.comOmidYaghbubi agrehDepartment of Mathematics, Azerbaijan shahid Madani University, Tabriz, Iranyaghubi_omid@yahoo.comZahraMohammadnezhadDepartment of Mathematics, Azerbaijan shahid Madani University, Tabriz, Iranmohammadnejhad_z@yahoo.comThe motivation of this paper is to propose such equitable method for ranking all decision making units (DMUs) in dynamic Data Envelopment Analysis (DDEA) framework. As far as we are aware there is not more studies in dynamic DEA literature. What's more, in such cases the best operating unit is important to be sampled for the others in under evaluated time periods. However, in this special concept of DEA, quasi-fixed inputs or intermediate products are the source of inter temporal dependence between consecutive periods. Hence, in order to have suitable ranking for units operating in dynamic environment the minimum and maximum efficiency values of each DMU in dynamic state are computed. Also, we assume that the sum of efficiency values of all DMUs in dynamic state is equal to unity. Thereafter, the rank of each DMU is determined through the combination of its maximum and minimum efficiency values. A real case of Iranian gas companies highlights the applicability of the proposed method in Dynamic framework.Keywords: efficiency,dynamic DEA (DDEA),Ranking,DMU,DEAhttp://ijo.iaurasht.ac.ir/article_515896.htmlhttp://ijo.iaurasht.ac.ir/article_515896_c7257e3b2106d2c9a7310e0a7c4b23ab.pdfIslamic Azad University, Rasht BranchIranian Journal of Optimization2588-57232008-542707220151201A hybrid BSC-DEMATEL- FIS approach for performance measurement in Food Industry839848ENshabnamJalalatDepartment of Business Management, Rasht Branch, Islamic Azad University, Rasht, Iran.shabnamjalalat@yahoo.comMehdiFadaeiDepartment of Management, Rasht Branch, Islamic Azad University, Rasht, Iranfadaei@iaurasht.ac.irMahdiHomayounfarDepartment of Industrial Management, Rasht Branch, Islamic Azad University, Rasht, Iranhomayounfar@iaurasht.ac.irOrganizational performance is a complex issue given that performance is a multifaceted phenomenon whose components may have distinct managerial priorities and may even be mutually inconsistent. Recently, the balanced scorecard approach (BSC), as an effective multi-criteria evaluation concept received much attention in organizational performance measurement. Although the BSC conceptual framework has been widely accepted in the business community, the proper method of implementing the framework remains an issue. Hence, this study has developed a hybrid expert system composition of BSC, Decision Making Trial and Evaluation Laboratory (DEMATEL) and fuzzy inference system (FIS) to evaluate the food producing companies. To this aim, this paper applied a graph theory based technique (DEMATEL) to determine critical criteria of BSC’s perspectives. The results show that “Profit”, “Customer satisfaction”, “Customer communication”, “Innovation management” and “Organizational asset management”, are of more importance in performance evaluation. In the next step, these criteria shape a fuzzy rule based inference system with linguistic variables and the membership functions are adjusted by experts. The results of proposed approach in food industry of Guilan province, Iran, show its applicability for evaluating the food companies.Balanced scorecard (BSC),DEMATEL,fuzzy inference system (FIS),food industry,Performance Evaluationhttp://ijo.iaurasht.ac.ir/article_519142.htmlhttp://ijo.iaurasht.ac.ir/article_519142_0f38bb909f6b465ba3158820ac715412.pdfIslamic Azad University, Rasht BranchIranian Journal of Optimization2588-57232008-542707220151201A new approach to fuzzy quantities ordering based on distance method and its applications for solving fuzzy linear programming849855ENS.HNasseriDepartment of Mathematics, University of Mazandaran, Babolsar, Irannasseri@umz.ac.irE.Darban JafariDepartment of Mathematics, University of Mazandaran, Babolsar, Iran.R.ChamehDepartment of Mathematics, University of Mazandaran, Babolsar, Iran.Many ranking methods have been proposed so far. However, there is yet no method that can always give a satisfactory solution to every situation; some are counterintuitive, not discriminating; some use only the local information of fuzzy values; some produce different ranking for the same situation. For overcoming the above problems, we propose a new method for ranking fuzzy quantities based on the distance method. Then, an application of using fuzzy ordering in the fuzzy mathematical programming as well as fuzzy primal simplex algorithm is indicated. In particular, we emphasize that the fuzzy ordering will be useful when a decision maker needs to evaluate the optimality condition in any solving process.Fuzzy linear programming,fuzzy number,fuzzy ordering,simplex algorithmhttp://ijo.iaurasht.ac.ir/article_522574.htmlhttp://ijo.iaurasht.ac.ir/article_522574_c3dd2d1913e459a1396bfb421a87e3ee.pdfIslamic Azad University, Rasht BranchIranian Journal of Optimization2588-57232008-542707220151201Sensitivity Analysis in Two-Stage DEA857864ENAthenaForghaniIslamic Azad University, Science and Research Branchathenaforghani@yahoo.comEsmaeilNajafiIslamic Azad University, Science and Research Branchnajafi1515@yahoo.comData envelopment analysis (DEA) is a method for measuring the efficiency of peer decision making units (DMUs) which uses a set of inputs to produce a set of outputs. In some cases, DMUs have a two-stage structure, in which the first stage utilizes inputs to produce outputs used as the inputs of the second stage to produce final outputs. One important issue in two-stage DEA is the sensitivity of the results of an analysis to perturbations in the data. The current paper looks into combined model for two-stage DEA and applies the sensitivity analysis to DMUs on the entire frontier. In fact, necessary and sufficient conditions for preserving a DMU's efficiency classiffication are developed when various data changes are applied to all DMUs.Two-stage DEA,Weighted sum model,Combined DEA model,Sensitivity analysishttp://ijo.iaurasht.ac.ir/article_523396.htmlhttp://ijo.iaurasht.ac.ir/article_523396_208dd85e0b9da782dea305895cf651c7.pdf